Atkin-Lehner |
2+ 3- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72624f |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
11168990208 = 210 · 34 · 17 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-696,-5148] |
[a1,a2,a3,a4,a6] |
j |
36464923876/10907217 |
j-invariant |
L |
7.606859904007 |
L(r)(E,1)/r! |
Ω |
0.95085748835512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36312e1 |
Quadratic twists by: -4 |